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V Pivovarchik, H. Woracek:
"Shifted Hermite-Biehler functions and their applications";
in: "ASC Report 29/2007", herausgegeben von: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2007, ISBN: 978-3-902627-00-1.

We investigate a particular subclass of so-called symmetric indefinite
Hermite-Biehler functions and give a characterization of functions of this
class in terms of the location of their zeros. For the proof we employ the theory
of de Branges Pontryagin spaces of entire functions. We apply our results
to obtain information on the eigenvalues of some boundary value problems.

Hermite-Biehler class, Pontryagin space, de Branges space, boundary

http://www.asc.tuwien.ac.at/preprint/2007/asc29x2007.pdf